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Finding the Third Proportional to 30,212 and 70,246

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Solution

The third proportional to 30,212 and 70,246 is: 163,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212 : 70,246 = 70,246 : x
  2. Step 2: Convert to fraction form
    30,212/70,246 = 70,246/x
  3. Step 3: Cross multiply
    30,212x = 70,246 × 70,246
  4. Step 4: Simplify right side
    30,212x = 4,934,500,516
  5. Step 5: Solve for x
    x = 4,934,500,516/30,212
  6. Step 6: Final answer
    x = 163,329.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.